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Finding the Third Proportional to 725,214 and 1,570,956

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Solution

The third proportional to 725,214 and 1,570,956 is: 3,402,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,214 : 1,570,956 = 1,570,956 : x
  2. Step 2: Convert to fraction form
    725,214/1,570,956 = 1,570,956/x
  3. Step 3: Cross multiply
    725,214x = 1,570,956 × 1,570,956
  4. Step 4: Simplify right side
    725,214x = 2,467,902,753,936
  5. Step 5: Solve for x
    x = 2,467,902,753,936/725,214
  6. Step 6: Final answer
    x = 3,402,999.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.